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Finding the Third Proportional to 2,101.22 and 2,768.34

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Solution

The third proportional to 2,101.22 and 2,768.34 is: 3,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.22 : 2,768.34 = 2,768.34 : x
  2. Step 2: Convert to fraction form
    2,101.22/2,768.34 = 2,768.34/x
  3. Step 3: Cross multiply
    2,101.22x = 2,768.34 × 2,768.34
  4. Step 4: Simplify right side
    2,101.22x = 7,663,727.12
  5. Step 5: Solve for x
    x = 7,663,727.12/2,101.22
  6. Step 6: Final answer
    x = 3,647.28

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.